We construct a 4-d lattice Dirac operator D using a systematical expansion in terms of simple operators on the lattice. The GinspargWilson equation turns into a system of coupled equations for the expansion coefficients ofD. We solve these equations for a finite parametrization of D and find an approximate solution of the Ginsparg-Wilson equation. We analyze the spectral properties of our D for...

For the purpose of improving living environment in chill region of China, reducing building energy consumption and carbon dioxide emissions, this paper studies general layout, shape, plane, and envelop of public buildings in depth, and puts forward corresponding design strategies on the basis of systematical analysis on geographical features, climate characteristics, economic level, technology ...

We present a systematical analysis of uncertainties in the helioseismological determination of quantities characterizing the solar structure. We discuss the effect of errors on the measured frequencies, the residual solar model dependence and the uncertainties of the inversion method. We find Y ph = 0.238 − 0.259, R b /R ⊙ = 0.708 − 0.714 and ρ b = (0.185 − 0.199) gr/cm 3 (the index b refers to...

To build intelligent model learning in conventional architecture, the local data are required to be transmitted toward cloud server, which causes heavy backhaul congestion, leakage of personalization, and insufficient use network resources. address these issues, federated (FL) is introduced by offering a systematical framework that converges distributed modeling process between participants par...

We discuss a symmetric setup for a reactor neutrino oscillation experiment consisting of two reactors separated by about 1 km, and two symmetrically placed detectors, one close to each reactor. We show that such a configuration allows a determination of sin 2θ13 which is essentially free of systematical errors, if it is possible to separate the contributions of the two reactors in each detector...

Interference lithography for the fabrication of photonic crystals is considered. A two-stage design method for realization of photonic bandgap structures with desired symmetries is developed. An optimal photonic crystal with a large bandgap is searched by adjusting some parameters while keeping some basic symmetry of the unit cell unchanged. A nonlinear programming method is then used to find t...

The multigram model assumes that language can be described as the output of a memoryless source that emits variable-length sequences of words. The estimation of the model parameters can be formulated as a Maximum Likelihood estimation problem from incomplete data. We show that estimates of the model parameters can be computed through an iterative Expectation-Maximization algorithm and we descri...

Porous anodic alumina (PAA) has been intensively studied in past decade due to its applications for fabricating nanostructured materials. Since PAA's pore diameter, thickness and shape vary too much, a systematical study on the methods of morphology characterization is meaningful and essential for its proper development and utilization. In this paper, we present detailed AFM, SEM and TEM studie...

We propose a systematical approach to construct generic fractional quantum anomalous Hall states, which are generalizations of the fractional quantum Hall states to lattice models with zero net magnetic field and full lattice translation symmetry. Local and translationally invariant Hamiltonians can also be constructed, for which the proposed states are unique ground states. Our result demonstr...

This paper introduces a novel approach for systematical development of CAN-based systems with guaranteed functional correctness and optimal performance. This approach relies on formal methods for faithful modeling and analysis of such systems, whilst taking into consideration the effects of critical parameters, such as bit stuffing and buffer utilization. As a proof of concept, the approach has...